This is not a mistake. I actually have two of these toothpicks, both bought at the same time from the same English dealer. This one, circa 1820, also has the two picks which fold into the case, and is 1 and 3/4 inches long, with the picks inside.
Another shopper has this item in their Cart or Wish List
Antique English smalls of quality
Specializing in Georgian and Victorian jewelry, English smalls, including leather bound books, silver etc.